Question

what is the volume of the regular pyramid below? a. 8100 units³ b. 810 units³ c. 270 units³ d. 2700 units³

Explanation:

Step1: Find base area

The base is a square with side length 10, so area $A = 10 \times 10 = 100$

Step2: Recall volume formula

Volume of pyramid: $V = \frac{1}{3} \times A \times h$, where $h=81$

Step3: Calculate volume

$V = \frac{1}{3} \times 100 \times 81 = 100 \times 27 = 2700$

Answer:

D. 2700 units³